Detection methods only serve to stop the most blatant, low effort kind of LLM responses. The more pressing issue is that people are reading LLM output, and paraphrasing it for their assignments, reports, emails, etc. The obvious problem being that LLMs are often wrong, or miss nuance in unnoticeable ways for the laymen. The secondary problem is the general outsourcing of thinking and effort, even for tasks that you ought to give your focus to. BTW: from my anecdata, most university students are absolutely violating academic integrity with these tools, and have completely lost the ability to engage without them.